Weighted eigenvalue problems for Hessian equations

DOI10.1016/j.na.2010.07.046zbMath1198.35087OpenAlexW2077933068MaRDI QIDQ708707

Nunzia Gavitone

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.07.046

zbMATH Keywords

eigenvalueseigenfunctionsHardy inequalityHessian operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Related Items (10)

Bounded solutions of a \(k\)-Hessian equation in a ball ⋮ Anisotropic elliptic equations with general growth in the gradient and Hardy-type potentials ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ Hardy-Poincaré type inequalities related to \(k\)-Hessian operator ⋮ New results of coupled system of \(k\)-Hessian equations ⋮ Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source ⋮ Multiplicity of bounded solutions to the \(k\)-Hessian equation with a Matukuma-type source ⋮ Boundary behavior of \(k\)-convex solutions for singular \(k\)-Hessian equations ⋮ Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Hessian measures. I
• Critical dimension of a Hessian equation involving critical exponent and a related asymptotic result
• Hessian measures. II
• Isoperimetric estimates for eigenfunctions of Hessian operators
• The dirichlet problem for a class of fully nonlinear elliptic equations
• On new isoperimetric inequalities and symmetrization.
• Weak solutions of hessian equations
• A variational theory of the Hessian equation
• The eigenvalue problem for Hessian operators

This page was built for publication: Weighted eigenvalue problems for Hessian equations